The heat flow for Kahler fibrations
classification
🧮 math.DG
math.SG
keywords
flowheatfibrationskahlerapplicationcorrespondenceestablishexistence
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We establish global existence of smooth solutions to heat flow for Yang-Mills-Higgs functional on Kahler fibrations. As an application, we give a new proof of the key inequality for Mundet's Hitchin-Kobayashi correspondence theorem using the heat flow technique.
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